Geodesics and the Einstein-nonlinear wave system.

DOI10.1016/S1631-073X(03)00126-2zbMath1038.35139OpenAlexW2068254148MaRDI QIDQ1408200

David M. A. Stuart

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00126-2

zbMATH Keywords

solitary wave solutionsEinstein nonlinear wave system

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Hyperbolic equations on manifolds (58J45)

Related Items (3)

Geodesics and the Einstein nonlinear wave system ⋮ The geodesic hypothesis and non-topological solitons on pseudo-Riemannian manifolds ⋮ Geodesics and the Einstein-nonlinear wave system.

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
• Stability theory of solitary waves in the presence of symmetry. I
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Geodesics and the Einstein-nonlinear wave system.
• Uniqueness of Positive Radial Solutions of Δu + f(u) = 0 in ℝ n , II
• Solitons on pseudo-Riemannian manifolds: stability and motion
• The geodesic hypothesis and non-topological solitons on pseudo-Riemannian manifolds
• Modulational approach to stability of non-topological solitons in semilinear wave equations.

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